Huang Li-hong, Bai Jian-ling, Yu Hao, Chen Feng
Department of Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu 211166, China.
Ministry of Education Key Laboratory for Modern Toxicology, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu 211166, China.
J Biomed Res. 2017 Jun 20;32(1):23-9. doi: 10.7555/JBR.31.20160111.
Sample size re-estimation is essential in oncology studies. However, the use of blinded sample size reassessment for survival data has been rarely reported. Based on the density function of the exponential distribution, an expectation-maximization (EM) algorithm of the hazard ratio was derived, and several simulation studies were used to verify its applications. The method had obvious variation in the hazard ratio estimates and overestimation for the relatively small hazard ratios. Our studies showed that the stability of the EM estimation results directly correlated with the sample size, the convergence of the EM algorithm was impacted by the initial values, and a balanced design produced the best estimates. No reliable blinded sample size re-estimation inference can be made in our studies, but the results provide useful information to steer the practitioners in this field from repeating the same endeavor..
样本量重新估计在肿瘤学研究中至关重要。然而,针对生存数据使用盲法样本量重新评估的情况鲜有报道。基于指数分布的密度函数,推导了风险比的期望最大化(EM)算法,并通过多项模拟研究验证其应用。该方法在风险比估计方面存在明显差异,对于相对较小的风险比存在高估现象。我们的研究表明,EM估计结果的稳定性与样本量直接相关,EM算法的收敛受初始值影响,平衡设计产生的估计效果最佳。在我们的研究中无法得出可靠的盲法样本量重新估计推断,但研究结果为该领域的从业者避免重复相同的努力提供了有用信息。